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Simplifying 0.2(6x + -3) = 0.4(x + -2) + 0.2 Reorder the terms: 0.2(-3 + 6x) = 0.4(x + -2) + 0.2 (-3 * 0.2 + 6x * 0.2) = 0.4(x + -2) + 0.2 (-0.6 + 1.2x) = 0.4(x + -2) + 0.2 Reorder the terms: -0.6 + 1.2x = 0.4(-2 + x) + 0.2 -0.6 + 1.2x = (-2 * 0.4 + x * 0.4) + 0.2 -0.6 + 1.2x = (-0.8 + 0.4x) + 0.2 Reorder the terms: -0.6 + 1.2x = -0.8 + 0.2 + 0.4x Combine like terms: -0.8 + 0.2 = -0.6 -0.6 + 1.2x = -0.6 + 0.4x Add '0.6' to each side of the equation. -0.6 + 0.6 + 1.2x = -0.6 + 0.6 + 0.4x Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 1.2x = -0.6 + 0.6 + 0.4x 1.2x = -0.6 + 0.6 + 0.4x Combine like terms: -0.6 + 0.6 = 0.0 1.2x = 0.0 + 0.4x 1.2x = 0.4x Solving 1.2x = 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 1.2x + -0.4x = 0.4x + -0.4x Combine like terms: 1.2x + -0.4x = 0.8x 0.8x = 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 0.8x = 0.0 Divide each side by '0.8'. x = 0 Simplifying x = 0
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